Solving System of Equations Elimination

________________ are two or more equations that have the same variables and work together.

• graphing lines

• elimination method

• system of equations

• table

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Nancy went to the grocery story.  On Monday she purchased 4 apples and 6 bananas for a total of $13.  On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50.  Which system of equations represents the situation?

• 4x + 6y = 3
  13.5x - 13y = 6

• x + y = 4
  x - y = 6

• 4x + 6y = 13
  3x + 7y = 13.5

• 4x - 6y = 13
  3x - 7y = 13.5

Tags

CCSS.8.EE.C.8C

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Solve the system:
x + y = 21
6x + 4y = 104

• (10, 11)

• (12, 9)

• (11, 10)

• (9, 12)

Tags

CCSS.8.EE.C.8C

Will the solution (-3, -7) make the following system of equations a true statement? 
y = 4x + 5
y = x – 4

• YES

• NO

what does the top equation need to be multiplied by to create a zero pair?

2x - 6y = 20

2x + 5y = -11

• -1

• 1

• -2

• 2

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

 4x + 8y =  20
-4x + 2y = -30

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve by elimination 
  2x + 9y = -7
6x - 3y = 9 

• (-1, -1) 

• (2,-1)

• (1,1)

• (1,-1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve by elimination:
4x + 4y = 4
3x + 4y =10

• (7,-6)

• (-6,7)

• (6,7)

• (7,6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve by elimination:
3x + 7y = 23
-3x - 7y = -17

• No solution

• Infinite number of solutions

• (-3,3)

• (3,3)

Tags

CCSS.8.EE.C.8B

Solve the system by elimination.
4x + 12y = −1
−3x − 9y = 0 

• (10, 1) 

• (−10, −1) 

•  (10, −1) 

•  No solution 

Tags

CCSS.8.EE.C.8B